A production model and maintenance planning model for the process industry

Figure 3: Inventories and backorders for the basic scenario

	Basic scenario	Scenario 1	Scenario 2	Scenario 3
Setup costs	sij=1,000 for all i,j	sij=3,000 for all j si_j=1,000 for i=2,...,5, j=1,2________________	s_ij=1,000 for all i,j	sij=1,000 for all i,j
Capacity	Capj=336 for all j	Capj=336 for all j	Cap₁=336 Cap₂=168	Capj=336 for all j
Backorder costs	l_i=1,000 for all i	l_i=1,000 for all i	l_i=1,000 for all i	l₁=3,000 l_i=1,000 for i=2,...,5

Table 6: Summary of the four scenarios

	Job sequence	Objective value ($)
Scenario 1	Line 1: 1 2 3 1 2 M 2 2 1 1 Line 2: 4 4 5 5 3 M 4 5 3 5	285,620
Scenario 2	Line 1: 4 4 5 1 M 5 2 1 1 4 Line 2: 4 3 3 1 3 3 M 5 4 5	443,960
Scenario 3	Line 1: 1 2 3 5 M 2 2 1 1 5 Line 2: 4 4 1 5 2 M 3 4 3 5	334,270

Table 7: Results of three scenarios

All three scenarios validated the working of the model. It is important to note that, while the
basic scenario was solved optimally, the other three scenarios were not. Instead, good feasible
solutions were obtained using a special branching strategy in the Branch and Bound procedure,
because of the computation time involved. This branching method and the important issue of
computational efficiency, is elaborated on next.

6. Branching Strategy and Performance of the Model

More intriguing information

1. Family, social security and social insurance: General remarks and the present discussion in Germany as a case study
2. Reputations, Market Structure, and the Choice of Quality Assurance Systems in the Food Industry
3. Can genetic algorithms explain experimental anomalies? An application to common property resources
4. Economies of Size for Conventional Tillage and No-till Wheat Production
5. What Lessons for Economic Development Can We Draw from the Champagne Fairs?
6. PROPOSED IMMIGRATION POLICY REFORM & FARM LABOR MARKET OUTCOMES
7. Monetary Discretion, Pricing Complementarity and Dynamic Multiple Equilibria
8. Sex-gender-sexuality: how sex, gender, and sexuality constellations are constituted in secondary schools
9. How we might be able to understand the brain
10. Does South Africa Have the Potential and Capacity to Grow at 7 Per Cent?: A Labour Market Perspective