Abstract

This study will focus on the potential requirements for an emergency response facility in case of weapons of mass destruction casualties proposing mathematical models. A complete emergency room layout will be designed taking the following analyses and requirements into consideration: quality function development (QFD) and product layout; average number of patients in the system, average time in the system, average number of patients in the waiting queue and average time waiting in the queue. Our analysis showed that, assuming 150 patients per day for 2 days with average service time of 14 minutes with two lines running.  λ = 75 arrivals/day = 0.0521 arrivals/min. µ = 2 patients/14min = 0.1429 patients/min. Average number of patients in system (waiting and being served). Ls = λ / (µ - λ) = 0.574 patients. Average time in system (waiting and service time) Ws = 1 / (µ - λ) = 11.02 min. Average number of patients waiting in queue. Lq = λ2 / µ (µ - λ) = 0.209 patients Average time waiting in queue, Wq =  λ / µ (µ - λ) = 4.016 min. From our model, we conclude to set up an engineer’s perfect ER response we need: Having a stable patient and unstable patient track will make it easy to respond to the emergency. Patients requiring the emergency track feature would be dropped off before the vehicle shower at contaminated stabilizing rooms. Time of service: waiting 14 minutes with an average of 2 patients waiting in line to be served. This is an initial study having a flow of 150 patients arriving over a long time period and it is an attempt to apply a mathematical model to a multidisciplinary approach to a clinical potential discussion.

Highlights

  • Chemical warfare agents as a military issue are events and civilians could be exposed to these agents[1]

  • Average number of patients waiting in queue Lq = 2 / μ (μ - ) = 0.209 patients Average time waiting in queue Wq = / μ (μ - ) = 4.016 min

  • If the plan is implemented, stress management and psychological support will play an important role in recovery[13,14]. This is the first attempt to have engineers look at an existing ER and set a mathematical model and plan to try to design the perfect ER and ER flow

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Summary

Introduction

Chemical warfare agents as a military issue are events and civilians could be exposed to these agents[1]. Others will go directly to their private physician’s office or primary hospital even if these facilities are not part of the local disaster plan. Most of these victims will not be decontaminated before arrival. It is important to remember that in most cases of biological or chemical attacks, the victim will be unaware of what is causing their illness They will not be able to alert medical professionals. If the hospital allows any of these patients inside, the staff may be exposed to the toxin and the facility may require closure for decontamination[3,4]. The healthcare facility must plan for communication that allows local government to transmit alerts regarding the emergency. The ability to establish a patient decontamination team from on-duty staff with only a few minutes notice at any time of the day or night is vital[3]

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