In the preceptor-preceptee partnership relationship, we want to ensure that the same shift least once per week and four times per month

What would happen if nothing is constrained?

The results from the previous chapter show that the same shift is not always achieved when HeadNurse is used as Preceptor and Trainee as Preceptee.

 _____________________________________
|           |           |             |
|   Weight  |   Errors  |    Cost     |
|___________|___________|_____________|
|           |           |             |
|        60 |         0 |           0 |
|        45 |         0 |           0 |
|        30 |         1 |          30 |
|        20 |         0 |           0 |
|        15 |         2 |          30 |
|        10 |         3 |          30 |
|___________|___________|_____________|
|                       |             |
|         Total         |          90 |
|_______________________|_____________|
	*********UB=90(0)  80.804(cpu sec)
o 90(0)
Finished solving process. 82 (sec)
Getting Successful Result.
Start Post Processing..Calling solver

post main
*******Partner Ship Error******** 1stWeek HN_0 TR_29
*******Partner Ship Error******** 1stWeek HN_1 TR_30
*******Partner Ship Error******** 1stWeek HN_2 TR_31
Patner Day Detected  2018-06-05 HN_3 TR_32
Patner Day Detected  2018-06-06 HN_3 TR_32
Patner Day Detected  2018-06-04 HN_4 TR_33
Patner Day Detected  2018-06-05 HN_4 TR_33
Patner Day Detected  2018-06-06 HN_4 TR_33
Patner Day Detected  2018-06-07 HN_4 TR_33
*******Partner Ship Error******** 1stWeek HN_5 TR_34
post main
*******Partner Ship Error******** 2ndWeek HN_0 TR_29
Patner Day Detected  2018-06-16 HN_1 TR_30
*******Partner Ship Error******** 2ndWeek HN_2 TR_31
Patner Day Detected  2018-06-13 HN_3 TR_32
Patner Day Detected  2018-06-14 HN_3 TR_32
*******Partner Ship Error******** 2ndWeek HN_4 TR_33
*******Partner Ship Error******** 2ndWeek HN_5 TR_34
post main
*******Partner Ship Error******** 3rdWeek HN_0 TR_29
*******Partner Ship Error******** 3rdWeek HN_1 TR_30
Patner Day Detected  2018-06-23 HN_2 TR_31
Patner Day Detected  2018-06-24 HN_2 TR_31
*******Partner Ship Error******** 3rdWeek HN_3 TR_32
Patner Day Detected  2018-06-19 HN_4 TR_33
Patner Day Detected  2018-06-21 HN_5 TR_34
post main
*******Partner Ship Error******** 4thWeek HN_0 TR_29
Patner Day Detected  2018-06-28 HN_1 TR_30
Patner Day Detected  2018-06-29 HN_1 TR_30
*******Partner Ship Error******** 4thWeek HN_2 TR_31
Patner Day Detected  2018-06-29 HN_3 TR_32
Patner Day Detected  2018-06-30 HN_3 TR_32
Patner Day Detected  2018-07-01 HN_3 TR_32
Patner Day Detected  2018-06-27 HN_4 TR_33
Patner Day Detected  2018-06-29 HN_4 TR_33
*******Partner Ship Error******** 4thWeek HN_5 TR_34
Finished Post Processing. 1 (sec)

The following Python code outputs the above.

def confirm_patner_ship(week,week_name):
    print('post main')
    for p in Partnership_Property:
        if len(p) !=2:
            continue
        vlist=[]
        b=False
        for day in week:
            v0=shift_solution[p[0]][day]
            v1=shift_solution[p[1]][day]
            if ( (v0=='Day' and v1=='Day') or (v0=='Early' and v1=='Early') or (v0=='Late' and v1=='Late') or (v0=='Night' and v1=='Night')):
                print('Patner Day Detected ',daydef[day],staffdef[p[0]],staffdef[p[1]])
                b=True
        if b==False:
            print('*******Partner Ship Error********',week_name,staffdef[p[0]],staffdef[p[1]])


def post_main():
    confirm_partner_ship()

Define PartnerShip

Entire Python Code

def partner_ship_constraint_sub(week,week_name):
    for p in Partnership_Property:
        if len(p) !=2:
            continue
        vlist=[]
        for day in week:
            v0A=sc3.GetShiftVar(p[0],day,'Day')
            v0B=sc3.GetShiftVar(p[0],day,'Early')
            v0C=sc3.GetShiftVar(p[0],day,'Late')
            v0D=sc3.GetShiftVar(p[0],day,'Night')

            v1A=sc3.GetShiftVar(p[1],day,'Day')
            v1B=sc3.GetShiftVar(p[1],day,'Early')
            v1C=sc3.GetShiftVar(p[1],day,'Late')
            v1D=sc3.GetShiftVar(p[1],day,'Night')

            #Collect the day when a Head Nurse and Trainee works together. 
            vlist.append( (v0A&v1A) | (v0B&v1B) | (v0C&v1C) | (v0D&v1D))
        s='Partner '+staffdef[p[0]]+' '+staffdef[p[1]] +' '+week_name
        print(s)
        sc3.AddSoft(sc3.Or(vlist),s,4)#Take OR

def partner_ship_constraint():
    partner_ship_constraint_sub(a_1stWeek,'1stWeek')
    partner_ship_constraint_sub(b_2ndWeek,'2ndWeek')
    partner_ship_constraint_sub(c_3rdWeek,'3rdWeek')
    partner_ship_constraint_sub(d_4thWeek,'4thWeek')


def confirm_partner_ship():
    confirm_patner_ship(a_1stWeek,'1stWeek')
    confirm_patner_ship(b_2ndWeek,'2ndWeek')
    confirm_patner_ship(c_3rdWeek,'3rdWeek')
    confirm_patner_ship(d_4thWeek,'4thWeek')


def confirm_patner_ship(week,week_name):
    print('post main')
    for p in Partnership_Property:
        if len(p) !=2:
            continue
        vlist=[]
        b=False
        for day in week:
            v0=shift_solution[p[0]][day]
            v1=shift_solution[p[1]][day]
            if ( (v0=='Day' and v1=='Day') or (v0=='Early' and v1=='Early') or (v0=='Late' and v1=='Late') or (v0=='Night' and v1=='Night')):
                print('Patner Day Detected ',daydef[day],staffdef[p[0]],staffdef[p[1]])
                b=True
        if b==False:
            print('*******Partner Ship Error********',week_name,staffdef[p[0]],staffdef[p[1]])


def post_main():
    confirm_partner_ship()

partner_ship_constraint()

Results are as follows. No partner-ship error is observed.

Preparing to compile.

Calling solver

	Compiling constraints..
	Generating python property file finished.
Partner HN_0 TR_29 1stWeek
Partner HN_1 TR_30 1stWeek
Partner HN_2 TR_31 1stWeek
Partner HN_3 TR_32 1stWeek
Partner HN_4 TR_33 1stWeek
Partner HN_5 TR_34 1stWeek
Partner HN_0 TR_29 2ndWeek
Partner HN_1 TR_30 2ndWeek
Partner HN_2 TR_31 2ndWeek
Partner HN_3 TR_32 2ndWeek
Partner HN_4 TR_33 2ndWeek
Partner HN_5 TR_34 2ndWeek
Partner HN_0 TR_29 3rdWeek
Partner HN_1 TR_30 3rdWeek
Partner HN_2 TR_31 3rdWeek
Partner HN_3 TR_32 3rdWeek
Partner HN_4 TR_33 3rdWeek
Partner HN_5 TR_34 3rdWeek
Partner HN_0 TR_29 4thWeek
Partner HN_1 TR_30 4thWeek
Partner HN_2 TR_31 4thWeek
Partner HN_3 TR_32 4thWeek
Partner HN_4 TR_33 4thWeek
Partner HN_5 TR_34 4thWeek
	Algorithm 1 Solving Process Started..
			o 13765   3.545000(sec) 
			o 13535   3.560000(sec) 
			o 12995   3.597000(sec) 
			o 12870   3.613000(sec) 
			o 12740   3.626000(sec) 
			o 12655   3.653000(sec) 
			o 12595   3.666000(sec) 
			o 12580   3.682000(sec) 
			o 12550   3.702000(sec) 
			o 12470   3.735000(sec) 
			o 12395   3.749000(sec) 
			o 12370   3.763000(sec) 
			o 12135   3.777000(sec) 
			o 12040   3.803000(sec) 
			o 11980   3.817000(sec) 
			o 11975   3.830000(sec) 
			o 11885   3.854000(sec) 
			o 11645   3.869000(sec) 
			o 11520   3.883000(sec) 
			o 11410   3.899000(sec) 
			o 11330   3.915000(sec) 
			o 11150   6.846000(sec) 
			o 11125   6.876000(sec) 
			o 11040   6.892000(sec) 
			o 10990   6.909000(sec) 
			o 10790   6.936000(sec) 
			o 10735   6.954000(sec) 
			o 10650   6.970000(sec) 
			o 10450   6.989000(sec) 
			o 10400   7.013000(sec) 
			o 10325   7.027000(sec) 
			o 10250   7.042000(sec) 
			o 10180   7.058000(sec) 
			o 10170   7.075000(sec) 
			o 10080   7.089000(sec) 
			o 9965   7.102000(sec) 
			o 9920   7.129000(sec) 
			o 9830   10.159000(sec) 
			o 9805   10.225000(sec) 
			o 9775   10.241000(sec) 
			o 9680   10.265000(sec) 
			o 9505   10.282000(sec) 
			o 9290   10.314000(sec) 
			o 9170   10.338000(sec) 
			o 8950   10.385000(sec) 
			o 8830   10.407000(sec) 
			o 8715   10.427000(sec) 
			o 8595   10.442000(sec) 
			o 8565   10.457000(sec) 
			o 8495   10.483000(sec) 
			o 8475   10.523000(sec) 
			o 8395   10.551000(sec) 
			o 8225   10.637000(sec) 
			o 8220   10.715000(sec) 
			o 8040   10.740000(sec) 
			o 8025   10.763000(sec) 
			o 7980   10.778000(sec) 
			o 7890   10.795000(sec) 
			o 7835   10.815000(sec) 
			o 7760   10.864000(sec) 
			o 7545   10.898000(sec) 
			o 7370   10.938000(sec) 
			o 7315   10.982000(sec) 
			o 7245   11.011000(sec) 
			o 7235   11.033000(sec) 
			o 7195   11.061000(sec) 
			o 7055   11.078000(sec) 
			o 7020   11.125000(sec) 
			o 6960   11.147000(sec) 
			o 6950   11.162000(sec) 
			o 6915   11.190000(sec) 
			o 6880   11.207000(sec) 
			o 6825   11.240000(sec) 
			o 6720   11.255000(sec) 
			o 6660   11.273000(sec) 
			o 6550   11.299000(sec) 
			o 6520   11.314000(sec) 
			o 6480   11.329000(sec) 
			o 6395   11.344000(sec) 
			o 6365   11.364000(sec) 
			o 6335   11.381000(sec) 
			o 6310   11.405000(sec) 
			o 6155   11.434000(sec) 
			o 6125   11.454000(sec) 
			o 6025   11.485000(sec) 
			o 6000   11.506000(sec) 
			o 5990   11.527000(sec) 
			o 5760   11.577000(sec) 
			o 5695   11.596000(sec) 
			o 5650   11.612000(sec) 
			o 5590   11.627000(sec) 
			o 5540   11.689000(sec) 
			o 5360   11.704000(sec) 
			o 5110   11.736000(sec) 
			o 5065   11.764000(sec) 
			o 5030   11.809000(sec) 
			o 4915   12.162000(sec) 
			o 4840   12.181000(sec) 
			o 4815   12.215000(sec) 
			o 4770   12.234000(sec) 
			o 4795   16.558000(sec) 
			o 4740   16.664000(sec) 
			o 4730   16.714000(sec) 
			o 4700   16.787000(sec) 
			o 4650   16.833000(sec) 
			o 4505   16.879000(sec) 
			o 4470   16.897000(sec) 
			o 4420   16.931000(sec) 
			o 4385   16.960000(sec) 
			o 4325   16.978000(sec) 
			o 4235   17.152000(sec) 
			o 4215   17.189000(sec) 
			o 4210   17.207000(sec) 
			o 4170   17.225000(sec) 
			o 4130   17.286000(sec) 
			o 4095   17.306000(sec) 
			o 3975   17.410000(sec) 
			o 3915   17.535000(sec) 
			o 3890   17.553000(sec) 
			o 3870   17.572000(sec) 
			o 3845   17.604000(sec) 
			o 3700   17.630000(sec) 
			o 3665   17.662000(sec) 
			o 3450   17.789000(sec) 
			o 3430   17.945000(sec) 
			o 3225   18.034000(sec) 
			o 3220   18.071000(sec) 
			o 3170   18.092000(sec) 
			o 3020   18.155000(sec) 
			o 2930   18.210000(sec) 
			o 2865   18.230000(sec) 
			o 2850   18.322000(sec) 
			o 2845   21.545000(sec) 
			o 2830   21.662000(sec) 
			o 2800   21.706000(sec) 
			o 2580   21.727000(sec) 
			o 2565   21.770000(sec) 
			o 2475   21.872000(sec) 
			o 2135   21.980000(sec) 
			o 2120   21.996000(sec) 
			o 2030   22.025000(sec) 
			o 1865   22.041000(sec) 
			o 1720   22.072000(sec) 
			o 1700   22.175000(sec) 
			o 1635   22.223000(sec) 
			o 1620   22.257000(sec) 
			o 1515   22.392000(sec) 
			o 1485   22.430000(sec) 
			o 1455   22.590000(sec) 
			o 1440   22.612000(sec) 
			o 1425   22.779000(sec) 
			o 1410   22.796000(sec) 
			o 1395   22.835000(sec) 
			o 1365   23.147000(sec) 
			o 1275   23.294000(sec) 
			o 1175   23.313000(sec) 
			o 1130   23.456000(sec) 
			o 1085   23.590000(sec) 
			o 1055   24.169000(sec) 
			o 1040   24.200000(sec) 
			o 1010   24.231000(sec) 
			o 980   24.248000(sec) 
			o 945   24.274000(sec) 
			o 920   24.777000(sec) 
			o 915   24.803000(sec) 
			o 900   24.885000(sec) 
			o 870   24.941000(sec) 
			o 855   24.997000(sec) 
			o 840   25.193000(sec) 
			o 785   25.303000(sec) 
			o 770   25.329000(sec) 
			o 755   25.382000(sec) 
			o 740   25.397000(sec) 
			o 725   25.452000(sec) 
			o 710   25.467000(sec) 
			o 695   25.527000(sec) 
			o 680   25.552000(sec) 
			o 675   25.600000(sec) 
			o 660   25.615000(sec) 
			o 635   25.840000(sec) 
			o 630   25.983000(sec) 
			o 615   26.018000(sec) 
			o 595   26.688000(sec) 
			o 540   27.354000(sec) 
			o 525   27.916000(sec) 
			o 510   28.613000(sec) 
			o 495   28.711000(sec) 
			o 480   29.926000(sec) 
			o 465   29.990000(sec) 
			o 455   32.446000(sec) 
			o 440   32.623000(sec) 
			o 425   32.774000(sec) 
			o 410   32.868000(sec) 
			o 400   33.851000(sec) 
			o 365   34.904000(sec) 
			o 350   35.418000(sec) 
			o 330   50.710000(sec) 
			o 320   50.747000(sec) 
			o 310   50.806000(sec) 
			o 300   50.824000(sec) 
			o 290   50.980000(sec) 
			o 280   51.019000(sec) 
			o 270   51.816000(sec) 
			o 260   52.104000(sec) 
			o 250   52.640000(sec) 
			o 240   52.849000(sec) 
			o 230   53.113000(sec) 
			o 220   53.131000(sec) 
			o 210   53.772000(sec) 
			o 200   53.965000(sec) 
			o 190   54.196000(sec) 
			o 180   55.059000(sec) 
			o 175   55.192000(sec) 
			o 165   55.359000(sec) 
			o 155   56.045000(sec) 
			o 145   62.457000(sec) 
 _____________________________________
|           |           |             |
|   Weight  |   Errors  |    Cost     |
|___________|___________|_____________|
|           |           |             |
|        60 |         0 |           0 |
|        45 |         0 |           0 |
|        30 |         2 |          60 |
|        20 |         0 |           0 |
|        15 |         3 |          45 |
|        10 |         4 |          40 |
|___________|___________|_____________|
|                       |             |
|         Total         |         145 |
|_______________________|_____________|
	*********UB=145(0)  83.304(cpu sec)
o 145(0)
	Generating python property file finished.
Finished solving process. 85 (sec)
Getting Successful Result.
Start Post Processing..Calling solver

post main
Patner Day Detected  2018-06-08 HN_0 TR_29
Patner Day Detected  2018-06-04 HN_1 TR_30
Patner Day Detected  2018-06-06 HN_1 TR_30
Patner Day Detected  2018-06-07 HN_1 TR_30
Patner Day Detected  2018-06-04 HN_2 TR_31
Patner Day Detected  2018-06-08 HN_2 TR_31
Patner Day Detected  2018-06-09 HN_2 TR_31
Patner Day Detected  2018-06-10 HN_2 TR_31
Patner Day Detected  2018-06-04 HN_3 TR_32
Patner Day Detected  2018-06-06 HN_3 TR_32
Patner Day Detected  2018-06-06 HN_4 TR_33
Patner Day Detected  2018-06-05 HN_5 TR_34
Patner Day Detected  2018-06-06 HN_5 TR_34
post main
Patner Day Detected  2018-06-12 HN_0 TR_29
Patner Day Detected  2018-06-12 HN_1 TR_30
Patner Day Detected  2018-06-13 HN_1 TR_30
Patner Day Detected  2018-06-14 HN_2 TR_31
Patner Day Detected  2018-06-11 HN_3 TR_32
Patner Day Detected  2018-06-12 HN_3 TR_32
Patner Day Detected  2018-06-13 HN_4 TR_33
Patner Day Detected  2018-06-14 HN_5 TR_34
post main
Patner Day Detected  2018-06-21 HN_0 TR_29
Patner Day Detected  2018-06-22 HN_0 TR_29
Patner Day Detected  2018-06-18 HN_1 TR_30
Patner Day Detected  2018-06-19 HN_1 TR_30
Patner Day Detected  2018-06-23 HN_1 TR_30
Patner Day Detected  2018-06-21 HN_2 TR_31
Patner Day Detected  2018-06-22 HN_2 TR_31
Patner Day Detected  2018-06-21 HN_3 TR_32
Patner Day Detected  2018-06-22 HN_3 TR_32
Patner Day Detected  2018-06-18 HN_4 TR_33
Patner Day Detected  2018-06-19 HN_4 TR_33
Patner Day Detected  2018-06-21 HN_5 TR_34
post main
Patner Day Detected  2018-06-28 HN_0 TR_29
Patner Day Detected  2018-06-30 HN_1 TR_30
Patner Day Detected  2018-07-01 HN_1 TR_30
Patner Day Detected  2018-06-25 HN_2 TR_31
Patner Day Detected  2018-06-26 HN_2 TR_31
Patner Day Detected  2018-06-30 HN_3 TR_32
Patner Day Detected  2018-06-27 HN_4 TR_33
Patner Day Detected  2018-06-27 HN_5 TR_34
Patner Day Detected  2018-06-30 HN_5 TR_34
Finished Post Processing. 1 (sec)

Load the Project File

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