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Original Article

A time-expanded network design model for staff allocation in mail centres

ORCID Icon, ORCID Icon, ORCID Icon & ORCID Icon
Received 02 Dec 2022, Accepted 17 Nov 2023, Published online: 05 Dec 2023

Figures & data

Figure A1. Optimality gap of the models vs. time granularity, split by objective.

Figure A1. Optimality gap of the models vs. time granularity, split by objective.

Figure A2. Boxplot of changes for the different objectives with MMWT and Lex 1 removed, for easier comparison.

Figure A2. Boxplot of changes for the different objectives with MMWT and Lex 1 removed, for easier comparison.

Figure A3. Increase in max workers by allowable increase in changes.

Figure A3. Increase in max workers by allowable increase in changes.

Figure A4. Increase in changes by allowable increase in max workers.

Figure A4. Increase in changes by allowable increase in max workers.

Figure 1. Diagram of a small example mail centre (Mech.: mechanically sorted; Man.: manually sorted).

Figure 1. Diagram of a small example mail centre (Mech.: mechanically sorted; Man.: manually sorted).

Figure 2. Base network of a small example of a mail centre.

Figure 2. Base network of a small example of a mail centre.

Figure 3. Time-expanded version of the base network from for eight time periods.

Figure 3. Time-expanded version of the base network from Figure 2 for eight time periods.

Figure 4. Boxplots of maximum workers for each day for the different approaches, as well as those recommended by the UKMC.

Figure 4. Boxplots of maximum workers for each day for the different approaches, as well as those recommended by the UKMC.

Figure 5. Boxplots of changes required for each day for the different approaches, as well as those recommended by the UKMC.

Figure 5. Boxplots of changes required for each day for the different approaches, as well as those recommended by the UKMC.

Figure 6. Max workers vs. mail volume increase for different approaches.

Figure 6. Max workers vs. mail volume increase for different approaches.

Figure 7. Changes vs. mail volume increase for the different approaches.

Figure 7. Changes vs. mail volume increase for the different approaches.

Figure 8. Max workers vs. proportion of letters. Eighty percent letters is the current baseline.

Figure 8. Max workers vs. proportion of letters. Eighty percent letters is the current baseline.

Figure 9. Changes vs. proportion of letters. Eighty percent letters is the current baseline.

Figure 9. Changes vs. proportion of letters. Eighty percent letters is the current baseline.

Figure 10. Max workers vs. different levels of time discretisation, split by approach.

Figure 10. Max workers vs. different levels of time discretisation, split by approach.

Figure 11. Changes vs. different levels of time discretisation, split by approach.

Figure 11. Changes vs. different levels of time discretisation, split by approach.