Question: Please just do number 2 regular time production constraint Linear Programming There are many linear programming formulations for the aggregate production planning problem. The objective

Please just do number 2 "regular time production constraint"

Please just do number 2 "regular time production

Linear Programming There are many linear programming formulations for the aggregate production planning problem. The objective is typically to find the lowest-cost plan, considering when to hire and fire, how much inventory to hold, when to use overtime and undertime, and so on, while always meeting the sales forecast. One formulation, based on measuring aggregate sales and inventories in terms of direct labor hours, follows: Minimize: m 1=1 (CHH, + CpF, + CpX, + C00, + C71, + CyU.) subject to: 1. Inventory constraint: 1,-1 + X, + 0,-1, = D. 1, 2 B 2. Regular time production constraint: X, - AjW, +U, = 0 3. Overtime production constraint: 0,- A2,W, + S, = 0 4. Workforce level change constraints: W, -W-1 - H, + F, = 0 5. Initializing constraints: Wo = A3 lo = A4 W = As where: Ch = The cost of hiring an employee. Cp = The cost of firing an employee. CR=The cost per labor-hour of regular time production. Co= The cost per labor-hour of overtime production. C,= The cost per month of carrying one labor-hour of work. Cu = The cost per labor-hour of idle regular time production. Linear Programming There are many linear programming formulations for the aggregate production planning problem. The objective is typically to find the lowest-cost plan, considering when to hire and fire, how much inventory to hold, when to use overtime and undertime, and so on, while always meeting the sales forecast. One formulation, based on measuring aggregate sales and inventories in terms of direct labor hours, follows: Minimize: m 1=1 (CHH, + CpF, + CpX, + C00, + C71, + CyU.) subject to: 1. Inventory constraint: 1,-1 + X, + 0,-1, = D. 1, 2 B 2. Regular time production constraint: X, - AjW, +U, = 0 3. Overtime production constraint: 0,- A2,W, + S, = 0 4. Workforce level change constraints: W, -W-1 - H, + F, = 0 5. Initializing constraints: Wo = A3 lo = A4 W = As where: Ch = The cost of hiring an employee. Cp = The cost of firing an employee. CR=The cost per labor-hour of regular time production. Co= The cost per labor-hour of overtime production. C,= The cost per month of carrying one labor-hour of work. Cu = The cost per labor-hour of idle regular time production

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!