I need some help in my Linear programming formulations 


Static Workforce Scheduling: 


*Number of full time employees on different days of the week are given 
below 
*Each employee must work 5 consectutive days and then recieve 2 days 
off 
*The schedule must meet the requirements by minimizing the total number 
of full time employees 


Day1= Monday   17 
Day2=Tues        13 
Day3=Wed        15 
Day4=Thr          19 
Day5=Fri           14 
Day6=Sat          16 
Day7=Sun         11 


Multiperiod Workforce Scheduling 


*Requirement of skilled repair time (in hrs) is given below 
*At  the beginning of the period, 50 skilled technicians are availble 
*Each technician is paid $2000 and works upto 160 hrs per month 
*Each month 5% of the technicians leave 
*A new technician needs one month of training,i s paid $1000 per month, 
and reqires 50 hours of supervision of a trained technician. 
*Meet the service requirements at minimum cost 


Month 1       Month2        Month3       Month4           Month5 
6000          7000          8000             9500             11000

Are the new technicians paid during their 50 hours of training?  When
do the new technicians paid $1000/month become regular technicians
receiving $2000/month?  Is it after one month?  Can the supervising
technician do any work of his own while supervising a new technician?

New technicians are paid during thier 50 hours.
New techicians become regular after one motnh of training
Supervising technician cannot do his regular work while supervising.
Thank you

After receiving your initial response I took a closer look at the
problem.  I see that there are a number of issues.

What work needs to be done?  Exactly what are the service
requirements?  Over what time period does the servicing need to be
provided?  I see five months with numbers under them.  What do the
numbers represent?  How much work can an experienced technician do? 
How much can a new technician do?  Can a new technician work during
his training period?  Do 5% of both experienced and new technicians
leave each month?  Different months have differing numbers of days.  A
month is not exactly four weeks (except for February in a non leap
year).  How do I account for that with the information above?  A full
time employee who works full time for four weeks would have to stop
for the remainder of the last partial week of the month.

You talk about minimizing the number of full time employees and give a
schedule by week.  However, if full time employees must work five
consecutive days and then get two days off, then the restrictions of
thirteen and Tuesday and eleven on Sunday, make it impossible to
schedule more than fourteen full time employees on any day.

My questions are not picky.  They all absolutely need to be answered
before your question can be addressed.

The 5 months with numbers are hours.Each month only experienced technicians leave.
Your qustions are valid,but i only have this much info.you can
formulate them making your own assumptions,but state your assumptions
clearly.Thanks