--%>
Assignment Help - homework help

Nonlinear integer programming problem

Explain Nonlinear integer programming problem with an example ?

E

Expert

Verified

The nonlinear integer programming problem in this optimal staffing problem can be highlighted as below:

With service-level constraints over a time interval, suppose there are K call types, I skill groups, P periods and Q types of work schedules. We have the following definition of parameters:

The cost vector can be defined as c→=(c1,1,…,c1,Q,……,cI,1,……,cI,Q)' where ci,Q is the cost of agent of skill group i having shift q. The decision variables can be defined as this vector x→=(x1,1,…,x1,Q,……,xI,1,……,xI,Q)', where xi,Q is the number of agents with skill group i having shift q. The paper defines a vector of auxiliary variable y→=(y1,1,…,y1,Q,……,yI,1,……,yI,Q)', where yi,Q is the number of agents with skill group i in period p.

The vector satisfies the matrix equation y→=Ax→ , where the element (p,q) of matrix A is 1 and other elements are zero. By defining the service level for call type gk,p(y→) as the ratio of expected value of number of calls answered within sk,p seconds in period p and number of calls in period p, the single-stage steady problem solved in this paper can be formulated as:

350_nonlinear progg.jpg

   Related Questions in Mathematics

  • Q : Problem on Maple (a) Solve the

    (a) Solve the following  by: (i) First reducing the system of first order differentiat equations to a second order differential equation. (ii) Decoupling the following linear system of equa

    		•
  • Q : Who had find Monte Carlo and finite

    Who had find Monte Carlo and finite differences of the binomial model?

    		•
  • Q : Uniform scaling what is uniform scaling

    what is uniform scaling in computer graphic

    		•
  • Q : Problem on Linear equations Anny, Betti

    Anny, Betti and Karol went to their local produce store to bpought some fruit. Anny bought 1 pound of apples and 2 pounds of bananas and paid $2.11.  Betti bought 2 pounds of apples and 1 pound of grapes and paid $4.06.  Karol bought 1 pound of bananas and 2

    		•
  • Q : Abstract Algebra let a, b, c, d be

    let a, b, c, d be integers. Prove the following statements: (a) if a|b and b|c. (b) if a|b and ac|bd. (c) if d|a and d|b then d|(xa+yb) for any x, y EZ

    		•
  • Q : Relationships Between Data Introduction

    Relationships Between Data - Introduction to Linear Regression Simple Regression Notes If you need guidance in terms of using Excel to run regressions, check pages 1 - 10 of the Excel - Linear Regression Tutorial posted to th

    		•
  • Q : Examples of groups Examples of groups:

    Examples of groups: We now start to survey a wide range of examples of groups (labelled by (A), (B), (C), . . . ). Most of these come from number theory. In all cases, the group axioms should be checked. This is easy for almost all of the examples, an

    		•
  • Q : Maths assignment complete assignment

    complete assignment with clear solution and explanation

    		•
  • Q : Statistics Caterer determines that 37%

    Caterer determines that 37% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000. The 144 are asked to sample the food. If P-hat is the proportion saying that the food is delicious, what is the mean of the sampling distribution p-hat?

    		•
  • Q : Probability assignments 1. Smith keeps

    1. Smith keeps track of poor work. Often on afternoon it is 5%. If he checks 300 of 7500 instruments what is probability he will find less than 20substandard? 2. Realtors estimate that 23% of homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2

    		•