A design to minimize congestion around the Ka'aba

One of the rituals of the Moslem pilgrimage to Makkah is Tawaf. For Tawaf, a pilgrim walks seven times around the Ka'aba. The Ka'aba is a cubic structure. The area available around the Ka'aba is relatively small and is usually congested. People arrive at random to perform this ritual...

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Bibliographic Details
Published in:Computers & industrial engineering 1997-04, Vol.32 (2), p.419-428
Main Authors: Al-Haboubi, Muhammad H., Selim, Shokri Z.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Islam
Operational research and scientific management
Operational research. Management science
Operations research
Pilgrimages
Pilgrims
Queuing theory. Traffic theory
Shrines
Studies
Traffic control
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Summary:One of the rituals of the Moslem pilgrimage to Makkah is Tawaf. For Tawaf, a pilgrim walks seven times around the Ka'aba. The Ka'aba is a cubic structure. The area available around the Ka'aba is relatively small and is usually congested. People arrive at random to perform this ritual and immediately join the crowd, further congesting the area. The finishing pilgrims jostle their way out causing traffic conflict. This situation causes safety and religious problems in addition to delay. This study suggests directing walking pilgrims along a path spiralling seven times around the Ka'aba. A model is developed to minimize the total waiting time in the system as a function of width of the spiral path and the level of service (that is, flow rate, speed, space per person). An example is presented using historical data. Furthermore, we obtain the optimal width of spiral as the population increases. We also consider the system where a separate lane is added for movement of wheel chairs.
ISSN:0360-8352
1879-0550
DOI:10.1016/S0360-8352(96)00219-7