Mathematical Problems in Engineering

Research Article

Service Capacity Reserve under Uncertainty by Hospital’s ER Analogies: A Practical Model for Car Services

Table 4

Simulation-decision support system final report.
(a)
DescriptionConstant 
Working days per monthWDM21
Nonelective demandNED112
Work bays per technicianWBtec21,25
(b)
DescriptionVariableAverageStandard deviation
Customer waiting time (min)TCust37,6112,966
Pats lead time (min)TParts3586,872080,052
Total preparation time (min)TSR3624,482080,052
Service time per vehicle (min)TSW6533,743730,76
% Time a technician is idleFTI16,89%0,24
Working time per day (hours)WTD7,50,58
Parts sold per technician ( )PStec4755,031458,17
% Time sold at retail priceRLab72,40%0,072
Effective labour price ( )ELab66,130,486
(c)
DescriptionSimulation results (Ntec)Simulation results (Ntec + 1)
VariableAverageStandard deviationVariableAverageStandard deviation
Efficiency per vehicleEFCvh134,60%0,25EFCvh236,31%0,24
Average service efficiencyEFC186,50%0,23EFC283,11%0,24
Workshop available time (min)HPRES11102,4385,3HPRES21259,9297,48
Average cycle service time per vehicle (hours)ATPV13,460,95ATPV23,791,13
Service incremental capacityCAP126,80%—CAP220,50%—
Service occupancyOCC149,00%—OCC264,00%—
Profit per vehicle ( )PFunit1120,8436,98PFunit2137,8342,27
Estimation of parts sale ( )PS133285,210207,19PS238040,211665,36
Work bays per technicianWBtec11,430WBtec26,651,917
Cost of empty bay ( )CEW134,276,301CEW239,077,191
Capacity reserve cost for all nonelective demands ( )CAPRNED11861,32449,97CAPRNED22122,85514,798
Capacity reserve cost to serve 1 unexpected customer ( )CAPRNED11155,1137,498CAPRNED21176,942,9
Number of cars in the workshopVhW14,53,206VhW24,723,15